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On slow oscillations in coupled wells

Published online by Cambridge University Press:  15 April 2002

JOHN MILES
JOHN MILES
Affiliation:
Cecil H. and Ida M. Green Institute of Geophysics and Planetary Physics, University of California, San Diego, La Jolla, CA 92093-0225, USA
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Abstract

The eigenvalue problem for slow oscillations of a liquid in a set of N cylindrical wells that are bounded above by free surfaces and below by a common, semi-infinite reservoir is formulated on the assumption that the depth of the wells is large compared with their width, so that the lowest mode in each well, for which the fluid moves as a rigid body, dominates the higher modes. Detailed results are presented for a single well, a pair of identical circular wells, and linear and equilateral triplets. Comparison with Molin's (2001) result for a rectangular well suggests that the present result for a circular well should provide a good approximation for the Helmholtz mode in any well of the same cross-sectional area and moderate aspect ratio.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 455 , 25 March 2002 , pp. 283 - 287
Copyright
© 2002 Cambridge University Press

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